(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How many electron states are there in the irreducable part of 1BZ (one irreducable part is 1/48 of 1BZ).

2. Relevant equations

Volume of 1Bz:

[tex] \Omega = \dfrac{(2 \pi)^3}{V} [/tex]

Volume of ordinary cell:

[tex] V = a^3 [/tex]

Density of states, I assume that the temperature is so low that fermi-dirac function does not play big part, hence max energy = fermi energy.

[tex] D(\epsilon ) = \dfrac{V}{2 \pi ^2} \left( \dfrac{2m}{\hbar ^2} \right)^{3/2} \sqrt{\epsilon } [/tex]

3. The attempt at a solution

total number of states:

[tex] \int_0^{\epsilon _{F}} D(\epsilon ) d \epsilon [/tex]

just gives me N = N

:S

What do I do wrong? My plan was first to calculate the number of states i ordinary space, then convert into reciprocal space...

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# Homework Help: Number of electron states in 1Bz

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